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4668073092 = 223446131253
BaseRepresentation
bin1000101100011110…
…10010010010000100
3110001022210200110000
410112033102102010
534030011314332
62051113001300
7223451652354
oct42617222204
913038720400
104668073092
111a86007451
12aa33b3230
13595162a37
14323d7ab64
151c4c3cb7c
hex1163d2484

4668073092 has 60 divisors (see below), whose sum is σ = 12230127756. Its totient is φ = 1552599360.

The previous prime is 4668073063. The next prime is 4668073127. The reversal of 4668073092 is 2903708664.

It can be written as a sum of positive squares in 2 ways, for example, as 2178462276 + 2489610816 = 46674^2 + 49896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133738 + ... + 164990.

Almost surely, 24668073092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668073092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115063878).

4668073092 is an abundant number, since it is smaller than the sum of its proper divisors (7562054664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4668073092 is a wasteful number, since it uses less digits than its factorization.

4668073092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31730 (or 31719 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4668073092 is about 68323.2983103129. The cubic root of 4668073092 is about 1671.2671716791.

The spelling of 4668073092 in words is "four billion, six hundred sixty-eight million, seventy-three thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 461 922 1383 1844 2766 4149 5532 8298 12447 16596 24894 31253 37341 49788 62506 74682 93759 125012 149364 187518 281277 375036 562554 843831 1125108 1687662 2531493 3375324 5062986 10125972 14407633 28815266 43222899 57630532 86445798 129668697 172891596 259337394 389006091 518674788 778012182 1167018273 1556024364 2334036546 4668073092